What is the Least Common Multiple of 17940 and 17949?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 17940 and 17949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17940 and 17949, than apply into the LCM equation.

GCF(17940,17949) = 3
LCM(17940,17949) = ( 17940 × 17949) / 3
LCM(17940,17949) = 322005060 / 3
LCM(17940,17949) = 107335020

Least Common Multiple (LCM) of 17940 and 17949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17940 and 17949. First we will calculate the prime factors of 17940 and 17949.

Prime Factorization of 17940

Prime Factorization of 17949

Now multiplying the highest exponent prime factors to calculate the LCM of 17940 and 17949.

LCM(17940,17949) = 2² × 3¹ × 5¹ × 13¹ × 23¹ × 31¹ × 193¹
LCM(17940,17949) = 107335020